Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry

Abstract

We first present the construction of the moduli space of real pseudo-holomorphic curves in a given real symplectic manifold. Then, following the approach of Gromov and Witten, we construct invariants under deformation of real rational symplectic 4-manifolds. These invariants provide lower bounds for the number of real rational $J$-holomorphic curves in a given homology class passing through a given real configuration of points.

31 pages, 8 figures

Cited by in corpus (2)

• Towards relative invariants of real symplectic 4-manifolds
• Invariants of real symplectic 4-manifolds out of reducible and cuspidal curves